A Posteriori Error Analysis for Nonconforming Approximation of Multiple Eigenvalues

نویسندگان

  • DANIELE BOFFI
  • RICARDO G. DURÁN
  • FRANCESCA GARDINI
  • LUCIA GASTALDI
چکیده

In this paper we study an a posteriori error indicator introduced in E. Dari, R.G. Durán, C. Padra, Appl. Numer. Math., 2012, for the approximation of Laplace eigenvalue problem with Crouzeix–Raviart non-conforming finite elements. In particular, we show that the estimator is robust also in presence of eigenvalues of multiplicity greater than one. Some numerical examples confirm the theory and discuss the convergence of an adaptive algorithm when dealing with multiple eigenvalues.

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تاریخ انتشار 2014